Answered: The scores of individual students on…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Concept explainers

Question

100%

The scores of individual students on the American College Testing (ACT) composite college entrance examination have a normal distribution with mean 19.5 and standard deviation 6.1.

a.) What is the probability that a single student randomly chosen from all those taking the test scores 24 or higher?

b.) Now take an SRS of 60 students who took the test. What are the mean and standard deviation of the average (sample mean) score for the 60 students?

Do your results depend on the fact that individual scores havea normal distribution?

c.) What is the probability that the mean score xbar of these students is 21.35 or higher?

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

Expert Solution

Trending now

This is a popular solution!

Step by step

Solved in 4 steps with 4 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Point Estimation, Limit Theorems, Approximations, and Bounds$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.

Similar questions